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Finding the Third Proportional to 3,687,080 and 7,668,464

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Solution

The third proportional to 3,687,080 and 7,668,464 is: 15,949,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687,080 : 7,668,464 = 7,668,464 : x
  2. Step 2: Convert to fraction form
    3,687,080/7,668,464 = 7,668,464/x
  3. Step 3: Cross multiply
    3,687,080x = 7,668,464 × 7,668,464
  4. Step 4: Simplify right side
    3,687,080x = 58,805,340,119,296
  5. Step 5: Solve for x
    x = 58,805,340,119,296/3,687,080
  6. Step 6: Final answer
    x = 15,949,027.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.